CARLEMAN ESTIMATES FOR A CLASS OF DEGENERATE PARABOLIC OPERATORS

Given $\alpha \in [0,2)$ and $f \in L^2 ((0,T)\times(0,1))$, we derive new Carleman estimates for the degenerate parabolic problem $w_t + (x^\alpha w_x) _x =f$, where $(t,x) \in (0,T) \times (0,1)$, associated to the boundary conditions $w(t,1)=0$ and $w(t,0)=0$ if $0 \leq \alpha

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	SIAM journal on control and optimization 2008, Vol.47 (1), p.1-19
Hauptverfasser:	CANNARSA, P, MARTINEZ, P, VANCOSTENOBLE, J
Format:	Artikel
Sprache:	eng
Schlagworte:	Analytical and numerical techniques Applied sciences Boundary conditions Computer science control theory systems Control system analysis Control theory. Systems Estimates Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat transfer Inequality Modelling and identification Physics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Given $\alpha \in [0,2)$ and $f \in L^2 ((0,T)\times(0,1))$, we derive new Carleman estimates for the degenerate parabolic problem $w_t + (x^\alpha w_x) _x =f$, where $(t,x) \in (0,T) \times (0,1)$, associated to the boundary conditions $w(t,1)=0$ and $w(t,0)=0$ if $0 \leq \alpha
ISSN:	0363-0129 1095-7138
DOI:	10.1137/04062062X